[1]林晓松,黄志斌,郭岩昕.响应面方法在建模及模型优化中的应用[J].福建工程学院学报,2016,14(01):5-9.[doi:10.3969/j.issn.1672-4348.2016.01.002]
　Lin Xiaosong,Huang Zhibin,Guo Yanxi.Application of highorder response surface method in modelling and model optimization[J].Journal of FuJian University of Technology,2016,14(01):5-9.[doi:10.3969/j.issn.1672-4348.2016.01.002]
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响应面方法在建模及模型优化中的应用()
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《福建工程学院学报》[ISSN:2097-3853/CN:35-1351/Z]

卷:
第14卷
期数:
2016年01期
页码:
5-9
栏目:
出版日期:
2016-02-25

文章信息/Info

Title:
Application of highorder response surface method in modelling and model optimization
作者:
林晓松; 黄志斌; 郭岩昕
福建工程学院土木工程学院
Author(s):
Lin Xiaosong; Huang Zhibin;  Guo Yanxi
College of Civil Engineering, Fujian University of Technology
关键词:
响应面方法;  高阶;  建模;  优化
Keywords:
response surface method;  high-order;  modelling;  optimization
分类号:
TU311
DOI:
10.3969/j.issn.1672-4348.2016.01.002
文献标志码:
A
摘要:
针对复杂结构仿真中有限元仿真精度及效率不高的问题，提出采用高阶响应面方法进行建模及优化，并用桥梁模型来验证。选取合适参数，采用试验设计获取响应样本点，基于数理统计的逐步回归法对各自变量进行显著性分析，筛选对目标响应函数显著度高的自变量，再应用最小二乘法拟合各自变量的系数，得到三阶多项式响应面模型，用多目标优化算法进行优化。对比修正前后模态频率，结果表明应用响应面方法能得到简单而高精度的结构模型，从而验证了高阶响应面方法在建模及模型优化中的有效性。
Abstract:
To solve the problem of inefficiency and low accuracy in finite element simulation in sophisticated structure simulation, a new approach to modelling and optimizing via response surface method was proposed. A bridge model was taken as an example. After parameters screening, sample points were acquired by using D-optimality design, and parameter significance tests were completed based on stepwise regression method. The polynomial coefficients were fitted by the least squares method to construct the response surface model of the bridge. The model was optimized via multigoal optimization algorithm based on the model. By comparing the modal frequencies of non-updated and updated finite element model (FEM), it can be concluded that simple and highprecision model can be obtained by the response surface method.

参考文献/References:

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更新日期/Last Update: 2016-02-25